What is the perimeter of this composite figure? ( )
a) 16.56 in.
b) 14.28 in.
c) 18.28 in.
d) 10.28 in.
what is the area of this composite figure?
a) 4 in.2
b) 7.14 in.2
c) 10.28 in.2
d) 16.56 in.2

answer:

b) perimeter   =   14.28 in   , b) area = 7.14 in² .

step-by-step explanation:

given: composite figure with a square and 2 semi circle .

to find: perimeter and area of figure.

solution : we have given   that composite figure with a square side = 2 in and 2 semi circle with diameter = 2 in.

      perimeter of   square =4 × side

                                          =4 × 2 = 8 in.

perimeter of 2 semicircle =2(   * diameter).

                                        = 3.14 × 2 = 6.28 in

total perimeter of composite figure = perimeter of   square +perimeter of 2 semicircle.

total perimeter of composite figure = 8 + 6.28

                                                            = 14.28 in .

area of square = side × side .

area of square = 2 × 2.

area of square = 4 in² .

area of 2 semicircle =2[ (radius)²].

                                  = pi (radius)².

                                  = 3.14 ( 1) = 3.14 in² .

total area of composite figure =   area of square+ area of 2 semicircle .

                                                    = 4 + 3.14

                                                    = 7.14 in² .

therefore , b) perimeter   =   14.28 in   , b) area = 7.14 in² .

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

b

step-by-step explanation: